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We discuss a generalization of Kummer construction which, on the base of an integral representation of a finite group and local resolution of its quotient, produces a higher dimensional variety with trivial canonical class.
Representation theory of finite groups and associative algebras
Charles W. Curtis and Irving Reiner · 1962
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Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines
N. Bourbaki · 1968
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Glen E. Bredon · 1972
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Integral matrices
Morris Newman · 1972
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Ernst Eduard Kummer · 1975
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Alan H. Durfee · 1979
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Gordon James and Adalbert Kerber · 1981
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Lothar Göttsche · 1991
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William Fulton · 1993
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Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces
Lothar Göttsche and Wolfgang Soergel · 1993
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Singularités quotients non abéliennes de dimension 3 3 et variétés de Calabi-Yau
J. Bertin and D. Markushevich · 1994
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Hilbert schemes of zero-dimensional subschemes of smooth varieties
Lothar Göttsche · 1994
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On the Euler characteristic of generalized Kummer varieties
Olivier Debarre · 1999
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La correspondance de McKay
Miles Reid · 2000
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Uniqueness of crepant resolutions and symplectic singularities
Baohua Fu and Yoshinori Namikawa · 2004
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Poisson deformations of symplectic quotient singularities
Victor Ginzburg and Dmitry Kaledin · 2004
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On the elliptic genus of generalised Kummer varieties
Marc A. Nieper-Wißkirchen · 2004
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Rozansky-Witten invariants of hyperkähler manifolds, PhD Cambridge, 2004
Justin Sawon · 2004
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Quotients of E n E^{n} by 𝔞 n + 1 \mathfrak{a}_{n+1} and Calabi-Yau manifolds
Kapil Paranjape and Dinakar Ramakrishnan · 2005
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On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimensions ≥ 4 \geq 4
Dimitrios I. Dais, Martin Henk, and Günter M. Ziegler · 2006
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Holomorphic symplectic geometry and orbifold singularities
Misha Verbitsky · 2000
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Calabi-Yau threefolds of quotient type
Keiji Oguiso and Jun Sakurai · 2001
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McKay correspondence for symplectic quotient singularities
D. Kaledin · 2002
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Finite groups of matrices whose entries are integers
James Kuzmanovich and Andrey Pavlichenkov · 2002
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On the Chern numbers of generalised Kummer varieties
Marc A. Nieper-Wißkirchen · 2002
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Topology of singular algebraic varieties
B. Totaro · 2002
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A survey on symplectic singularities and symplectic resolutions
Baohua Fu · 2006
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On singular calogero-moser spaces, http://arxiv.org/abs/0707.3694, 2007
Gwyn Bellamy · 2007
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Higher-dimensional modular Calabi-Yau manifolds
S. Cynk and K. Hulek · 2007
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Generalised kummer constructions and Weil restrictions, http://arxiv.org/abs/0710.4565, 2007
Slawomir Cynk and Matthias Schuett · 2007
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Maxima, a computer algebra system, available at http://maxima.sourceforge.net/, 1982-2007
William Schelter et al · 2007
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On kummer 3-folds, http://arxiv.org/abs/0812.3758, 2008
Maria Donten · 2008
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A symplectic resolution for the binary tetrahedral group, http://arxiv.org/abs/0810.3225, 2008
Manfred Lehn and Christoph Sorger · 2008
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